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Simplify. Express your answer using a single exponent.\newline(g6)6(g^{6})^{6}

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Full solution

Q. Simplify. Express your answer using a single exponent.\newline(g6)6(g^{6})^{6}
  1. Identify Operation: Identify the operation needed for the exponents.\newlineWhen raising a power to a power, you multiply the exponents.
  2. Apply Exponent Rule: Apply the exponent rule (g6)6(g^6)^6. We multiply the exponents 66 and 66. (g6)6=g(6∗6)(g^6)^6 = g^{(6*6)}
  3. Perform Multiplication: Perform the multiplication of the exponents. g6×6=g36g^{6\times6} = g^{36}
  4. Write Final Answer: Write the final answer.\newlineThe expression (g6)6(g^6)^6 simplifies to g36g^{36}.

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